Least Common Multiple of 868/468, 7710/655

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 868/468, 7710/655 quickly i.e. 3346140 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 868/468, 7710/655 is 3346140.

LCM(868/468, 7710/655) = 3346140

LCM of 868/468, 7710/655

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 868/468,7710/655

Given numbers are 868/468,7710/655

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 868,7710

Least Common Multiple of Numerators i.e. LCM of 868,7710 is 3346140.

GCF of Denominators means GCF of 468,655 as per the given fractions.

GCF of 468,655 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 868,7710

LCM of Fractions 868/468,7710/655 is 3346140

2 868, 7710
434, 3855

∴ So the LCM of the given numbers is 2 x 434 x 3855 = 3346140

Least Common Multiple of 868,7710 with GCF Formula

Least Common Multiple of 868,7710 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 868,7710 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(868,7710) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(868,7710) x common factors =2 x 1 = 2

LCM(868,7710) = ( 868 × 7710 ) / 2

LCM(868,7710) = 6692280 / 2

LCM(868,7710) = 3346140


Lets's calculate GCF of 468,655

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3346140/1

Therefore the LCM of Fractions 868/468,7710/655 is 3346140

Greatest Common Factor of 468,655 By Matching Biggest Common Factor Method

Greatest Common Factor of 468,655 By Matching Biggest Common Factor Method

Factors of 468

List of positive integer factors of 468 that divides 468 without a remainder.

1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468

Factors of 655

List of positive integer factors of 655 that divides 655 without a remainder.

1,5,131,655

Greatest Common Factor

We found the factors 468,655 . The biggest common factor number is the GCF number.
So the greatest common factor 468,655 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 868/468, 7710/655

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 868/468, 7710/655?

Answer: LCM of Numerators as per given numbers 868/468, 7710/655 is

LCM of Numerators i.e. for 868,7710 is 3346140

GCF of denominators i.e. for 468,655 is 1.

Thus, LCM of Fractions is 3346140.Finally, LCM of Fractions for 868/468, 7710/655 is 3346140.